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222685380 = 2232517611193
BaseRepresentation
bin11010100010111…
…10100011000100
3120112000120220200
431101132203010
5424001413010
634032530500
75342536341
oct1521364304
9515016820
10222685380
11104777905
12626b0a30
133719aac8
14218097c8
151483acc0
hexd45e8c4

222685380 has 144 divisors (see below), whose sum is σ = 727547184. Its totient is φ = 54927360.

The previous prime is 222685373. The next prime is 222685381. The reversal of 222685380 is 83586222.

It can be written as a sum of positive squares in 8 ways, for example, as 10458756 + 212226624 = 3234^2 + 14568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (222685381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186064 + ... + 187256.

It is an arithmetic number, because the mean of its divisors is an integer number (5052411).

Almost surely, 2222685380 is an apocalyptic number.

222685380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222685380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363773592).

222685380 is an abundant number, since it is smaller than the sum of its proper divisors (504861804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222685380 is a wasteful number, since it uses less digits than its factorization.

222685380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 222685380 is about 14922.6465481161. The cubic root of 222685380 is about 606.1273790334.

The spelling of 222685380 in words is "two hundred twenty-two million, six hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 61 68 85 90 102 122 153 170 180 183 204 244 255 305 306 340 366 510 549 610 612 732 765 915 1020 1037 1098 1193 1220 1530 1830 2074 2196 2386 2745 3060 3111 3579 3660 4148 4772 5185 5490 5965 6222 7158 9333 10370 10737 10980 11930 12444 14316 15555 17895 18666 20281 20740 21474 23860 31110 35790 37332 40562 42948 46665 53685 60843 62220 71580 72773 81124 93330 101405 107370 121686 145546 182529 186660 202810 214740 218319 243372 291092 304215 363865 365058 405620 436638 608430 654957 727730 730116 873276 912645 1091595 1216860 1237141 1309914 1455460 1825290 2183190 2474282 2619828 3274785 3650580 3711423 4366380 4948564 6185705 6549570 7422846 11134269 12371410 13099140 14845692 18557115 22268538 24742820 37114230 44537076 55671345 74228460 111342690 222685380